47648524 has 48 divisors (see below), whose sum is σ = 105557760. Its totient is φ = 18279360.

The previous prime is 47648509. The next prime is 47648527. The reversal of 47648524 is 42584674.

It is a happy number.

47648524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (47648527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19482 + ... + 21790.

It is an arithmetic number, because the mean of its divisors is an integer number (2199120).

Almost surely, 2^47648524 is an apocalyptic number.

47648524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47648524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52778880).

47648524 is an abundant number, since it is smaller than the sum of its proper divisors (57909236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47648524 is a wasteful number, since it uses less digits than its factorization.

47648524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2396 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The square root of 47648524 is about 6902.7910297212. The cubic root of 47648524 is about 362.5348969972.

The spelling of 47648524 in words is "forty-seven million, six hundred forty-eight thousand, five hundred twenty-four".